Rationale for 1014 enhancement factor in single molecule Raman spectroscopy
Abstract
We extend the Purcell's original idea [Phys. Rev. 69, 682 (1946)] on modification of photon spontaneous emission rate to modification of photon spontaneous scattering rate. We find the interplay of local incident field enhancement and local density of photon states enhancement in close proximity to a silver nanoparticle may result in up to 1014-fold rise of Raman scattering cross-section. Thus single molecule Raman detection is found to be explained by consistent quantum electrodynamic description without any chemical mechanism involved. A model of the so-called "hot points" in surface enhanced spectroscopy has been elaborated as local areas with high Q-factor at incident and scattered (emitted) light frequencies. For verification of the model we consider further experiments including transient Raman experiments to clarify incident field enhancement and scanning near-field optical mapping of local density of photon states.